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Problem 5. Consider DT signal x[n] described in textbook problem 3.27, page 257. (a) Determine the amplitude and the phase angle of the Fourier coefficients a-1 (Q25, Q26) and a₁ (Q27, Q28). (b) Determine the fundamental frequency wo of the signal (Q29). (c) Express x[n] as: x[n] = A0 + A₁ cos(@₁n + 1) + A2 cos(w2n+2), with wk = kwo. Determine the value of: (i) A0 (Q30); (ii) A₁ (Q31); (iii) 1 (Q32); (iv) A2 (Q33); (v) 2 (Q34); 3.27. A discrete-time periodic signal x[n] is real valued and has a fundamental period N = 5. The nonzero Fourier series coefficients for x[n] are a0 = 2, a₂ a-2 = 2ej6a4a4 = e³ ³. = Express x[n] in the form x[n]-Ap+ = Ao ΣA sin(n+1). k=1

Problem 5. Consider DT signal x[n] described in textbook problem 3.27, page 257. (a) Determine the amplitude and the phase angle of the Fourier coefficients a-1 (Q25, Q26) and a₁ (Q27, Q28). (b) Determine the fundamental frequency wo of the signal (Q29). (c) Express x[n] as: x[n] = A0 + A₁ cos(@₁n + 1) + A2 cos(w2n+2), with wk = kwo. Determine the value of: (i) A0 (Q30); (ii) A₁ (Q31); (iii) 1 (Q32); (iv) A2 (Q33); (v) 2 (Q34); 3.27. A discrete-time periodic signal x[n] is real valued and has a fundamental period N = 5. The nonzero Fourier series coefficients for x[n] are a0 = 2, a₂ a-2 = 2ej6a4a4 = e³ ³. = Express x[n] in the form x[n]-Ap+ = Ao ΣA sin(n+1). k=1

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Problem 5. Consider DT signal x[n] described in textbook problem 3.27, page 257. (a) Determine the amplitude and the phase angle of the Fourier coefficients a-1 (Q25, Q26) and a₁ (Q27, Q28). (b) Determine the fundamental frequency wo of the signal (Q29). (c) Express x[n] as: x[n] = A0 + A₁ cos(@₁n + 1) + A2 cos(w2n+2), with wk = kwo. Determine the value of: (i) A0 (Q30); (ii) A₁ (Q31); (iii) 1 (Q32); (iv) A2 (Q33); (v) 2 (Q34);
Transcribed Image Text:Problem 5. Consider DT signal x[n] described in textbook problem 3.27, page 257. (a) Determine the amplitude and the phase angle of the Fourier coefficients a-1 (Q25, Q26) and a₁ (Q27, Q28). (b) Determine the fundamental frequency wo of the signal (Q29). (c) Express x[n] as: x[n] = A0 + A₁ cos(@₁n + 1) + A2 cos(w2n+2), with wk = kwo. Determine the value of: (i) A0 (Q30); (ii) A₁ (Q31); (iii) 1 (Q32); (iv) A2 (Q33); (v) 2 (Q34);
3.27. A discrete-time periodic signal x[n] is real valued and has a fundamental period N = 5. The nonzero Fourier series coefficients for x[n] are a0 = 2, a₂ a-2 = 2ej6a4a4 = e³ ³. = Express x[n] in the form x[n]-Ap+ = Ao ΣA sin(n+1). k=1
Transcribed Image Text:3.27. A discrete-time periodic signal x[n] is real valued and has a fundamental period N = 5. The nonzero Fourier series coefficients for x[n] are a0 = 2, a₂ a-2 = 2ej6a4a4 = e³ ³. = Express x[n] in the form x[n]-Ap+ = Ao ΣA sin(n+1). k=1
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